Similar and identical have different meaning to be precise. But if you have noticed people using it, that could be because many times people start using the first word that comes to their mind and they don't evaluate that word to be precisely what they are trying to say. Alternatively - it is also true that you can use similar for identical anyway because anythings which are identical are ...
15 "In the same vein as" is the most common idiom by a long shot. The other options "in a similar vein to" and "along the same vein" sound a little odd to my ear. I guess you'd be better off using "in a similar way to" and "along the same lines" instead.
For me, rephrasing to "A is constructed in a way similar to B ('s way of construction)" makes it clearer that the second statement is correct.
word choice - "in a similar way as" or "in a similar way to"? - English ...
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